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Simplifying 11a + 17b + 3c + 2c + -3b + -3a = 0 Reorder the terms: 11a + -3a + 17b + -3b + 3c + 2c = 0 Combine like terms: 11a + -3a = 8a 8a + 17b + -3b + 3c + 2c = 0 Combine like terms: 17b + -3b = 14b 8a + 14b + 3c + 2c = 0 Combine like terms: 3c + 2c = 5c 8a + 14b + 5c = 0 Solving 8a + 14b + 5c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14b' to each side of the equation. 8a + 14b + -14b + 5c = 0 + -14b Combine like terms: 14b + -14b = 0 8a + 0 + 5c = 0 + -14b 8a + 5c = 0 + -14b Remove the zero: 8a + 5c = -14b Add '-5c' to each side of the equation. 8a + 5c + -5c = -14b + -5c Combine like terms: 5c + -5c = 0 8a + 0 = -14b + -5c 8a = -14b + -5c Divide each side by '8'. a = -1.75b + -0.625c Simplifying a = -1.75b + -0.625c
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